ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


ACT Math Videos 161 videos

ACT Math 3.1 Plane Geometry
2559 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

ACT Math 2.5 Elementary Algebra
286 Views

ACT Math Section: Elementary Algebra Drill 2, Problem 5. Use these two equations to solve for both x and y.

ACT Math 3.1 Elementary Algebra
268 Views

ACT Math: Elementary Algebra Drill 3, Problem 1. Solve for a, given the two equations in the video.

See All

ACT Math 5.1 Intermediate Algebra 262 Views


Share It!


Description:

ACT Math: Intermediate Algebra: Drill 5, Problem 1. What does g(f(x)) equal?

Language:
English Language

Transcript

00:02

We suggest you take the math of least resistance...

00:06

If f of x equals 1 over x plus 1, and g of

00:10

x equals x squared, what does g of f of x equal?

00:15

And here are the potential answers...

00:19

Okay well, It's asking us about composite functions, or what the result of f of x is when sent

00:25

through g of x.

00:27

Basically, we can substitute "1 over x plus 1" as f of x... to get g of 1 over x plus 1.

00:36

Our new "x" is 1 over x plus 1, so our new g of x will be the entire quantity 1 over

00:42

x plus 1 squared.

00:44

When simplified, we get 1 over x plus 1 squared...

00:48

So there you go. Boom! The answer is B.

Related Videos

Inequalities in Number Lines
3235 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 3.1 Intermediate Algebra
1956 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

ACT Math 3.1 Plane Geometry
2559 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

Simplifying Radicals
9742 Views

We don't like knocking people down to size, but we do like simplifying radicals. Join us?

Arithmetic Math
2253 Views

If fleeing criminals always fled the scene of the crime at perfect right angles, it would be much easier to determine their whereabouts. Fortunatel...